TopWhile studying Statistics Mean, median and Mode, which are the Basic Terms used in the statistics sampling of data. Mean is used to find the Average of the given data, Median is used to find the mid value of the given data and Mode is used to find the value of the most occurring value in the given data.
Median means the mid value of the given collection of data. We will learn the method of finding the Median: the median to be calculated for the given data should be first arranged in ascending order. Now we must count the number of terms in the given data.
If the number of elements in the given data is odd then
Median = ( n +1 )/2th term.
It will be more clear with the following example:
If the ages of 7 students in the class are as follows, find the median age:
16, 14, 17, 14, 15, 18, 15.
First we arrange the given data in the ascending order and get
14, 14, 15, 15, 16, 17, 18
As the number of terms is 7 which is odd so, median = (7+1)/2th term
= 8/2th term = 4th term
So median is 15.
In case the number of terms is even, we find the median as
Median =[ (n/2)th term + ( (n/2) +1)th term ] /2
We take another example to find the median of data with even number of terms.
34, 23, 56, 47, 35, 42, 36, 29
We first arrange the data in ascending order and get:
23, 29 , 34, 35, 36, 42, 47, 56. As the number of terms is even, so we first find
n/2 = 8 / 2 = 4
and n/2 + 1= 4 + 1 = 5
4th term = 36 and 5th term = 42
Sum of 4th and 5th term = 36 +42 =78
So median = 78 / 2 = 39.